Kate Middleton, Prince William "Enjoying Bonding Time" With Prince George in Bucklebury

Baby time at Bucklebury! New royal family Kate Middleton,Prince William and days-old son Prince George Alexander Louis wasted little time getting away from the prying eyes of London for the relative seclusion and tranquility of Bucklebury in the countryside, where the common-born Duchess' parents Michael and Carole Middleton still live.

As previously reported, past noon on Wednesday, July 24 -- two days after George's birth and one day after his headline-making debut outside the Lindo Wing of St. Mary's Hospital -- the Duke and Duchess, both 31, loaded their future King into a black Range Rover and departed Kensington Palace for Bucklebury.

"This is now private and quiet time for them to get to know their son," a palace rep told Us Weekly following the trio's safe arrival at George's maternal grandparents home. And, a source tells Us that mother, father and baby are "all doing well" and "enjoying time bonding with George and being around family" in Bucklebury. (Before their London departure, little George received Palace visits from grandmother Queen Elizabeth, uncles Prince Harry and James Middleton and aunt Pippa Middleton.)

Not that the royals weren't making news from their hideaway: Shortly after their arrival at Bucklebury, they announced, via Clarence House tweet, their son's much-anticipated name.

"Don't read into [the names] too much," another source close to the Duke and Duchess told Us Weekly, although many previous royals from several centuries have all been named George, Alexander, and Louis. "They are not meant to be symbolic; they are just names the couple like."